On the information entropy of matter-waves in quasi-disorder potentials

TL;DR

This paper investigates how quasi-random potentials affect the localization of matter waves in ultracold Bose gases, using Shannon information entropy to quantify the degree of localization in both linear and nonlinear regimes.

Contribution

It introduces an information entropy-based method to effectively quantify localization of matter waves in quasi-disorder potentials for Bose-Einstein condensates.

Findings

Quasi-random potentials induce localized states in Bose gases.

Information entropy effectively measures localization in both linear and nonlinear regimes.

The approach offers a new way to analyze matter wave localization.

Abstract

We consider ultracold Bose gases in quasi-random potentials and quantify localization of matter waves by means of Shannon information entropy. We explicitly examine the role of quasi-random potentials in producing localized states in the linear and nonlinear regimes. It is seen that the information entropic-based approach can be more useful to quantify localization of different types of states observed in Bose-Einstein condensates.